Question

you must always multiply both equations before using elimination.

true
false

Explanation:

Analyze the statement

Using the Elimination Method knowledge point
The statement claims: "You must always multiply both equations before using elimination."

Evaluate the necessity of multiplication

Using the Elimination Method knowledge point
We do not always need to multiply both equations. For example, if a system already has opposite coefficients like \(x + y = 5\) and \(x - y = 1\), we can add them directly. If only one equation needs multiplication, such as \(2x + y = 5\) and \(x - y = 1\), we can multiply just one equation. Thus, the statement is false.

Answer:

• True
• False (Correct answer)